Adaptive Inverse Dynamics Control for Vibration Suppression of Flexible Panel with Piezoelectric Layers

In this paper an adaptive inverse dynamics control is applied to control and suppress the micro- vibrations of a flexible panel. The piezoelectric layers are used as sensors and actuators. Micro-vibrations, generally defined as low amplitude vibrations at frequencies up to 1 kHz, are now of critical importance in a number of areas. One such area is onboard spacecraft carrying sensitive payloads where the micro- vibrations are caused by the operation of other equipment. A rectangular simply supported flexible panel is considered and the equipments are located on it as lumped masses and concentrated forces. The concentrated loads induce micro-vibrations in the flexible panel. The governing equations of motion are derived based on Lagrange -Rayleigh-Ritz method. Finally the controller is applied and the system is simulated. Simulation results show the advantages of the adaptive inverse dynamics control algorithm.

[1]  Grant P. Steven,et al.  A mixed model for adaptive composite plates with piezoelectric for anisotropic actuation , 2000 .

[2]  Maurizio Porfiri,et al.  A passive electric controller for multimodal vibrations of thin plates , 2005 .

[3]  V. Balamurugan,et al.  Shell finite element for smart piezoelectric composite plate/shell structures and its application to the study of active vibration control , 2001 .

[4]  Jean-François Deü,et al.  Free vibrations of simply-supported piezoelectric adaptive plates: an exact sandwich formulation , 2002 .

[5]  Laura Menini,et al.  Active vibration control of an elastic plate using multiple piezoelectric sensors and actuators , 2003, Simul. Model. Pract. Theory.

[6]  Dong Zhang,et al.  Experimental researches on sliding mode active vibration control of flexible piezoelectric cantilever plate integrated gyroscope , 2009 .

[7]  Carlos A. Mota Soares,et al.  Active control of adaptive laminated structures with bonded piezoelectric sensors and actuators , 2004 .

[8]  Peng Li,et al.  Modeling and vibration control of a plate coupled with piezoelectric material , 2003 .

[9]  M. Reza Eslami,et al.  Piezo-control of forced vibrations of a thermoelastic composite plate , 2006 .

[10]  Kougen Ma,et al.  Adaptive non-linear control of a clamped rectangular plate with PZT patches , 2003 .

[11]  H. Y. Zhang,et al.  Vibration suppression of laminated plates with 1–3 piezoelectric fiber-reinforced composite layers equipped with interdigitated electrodes , 2007 .

[12]  Carlos A. Mota Soares,et al.  Active control of forced vibrations in adaptive structures using a higher order model , 2005 .

[13]  Intan Z. Mat Darus,et al.  Self-learning active vibration control of a flexible plate structure with piezoelectric actuator , 2010, Simul. Model. Pract. Theory.

[14]  Seong Hwan Moon,et al.  Panel flutter suppression with an optimal controller based on the nonlinear model using piezoelectric materials , 2004 .

[15]  Kok Keng Ang,et al.  Dynamic stability analysis of finite element modeling of piezoelectric composite plates , 2004 .

[16]  In Lee,et al.  Analysis of composite plates with piezoelectric actuators for vibration control using layerwise displacement theory , 1998 .

[17]  Yves St-Amant,et al.  Simulations and experiments on active vibration control of a plate with integrated piezoceramics , 2000 .

[18]  Jx X. Gao,et al.  Active control of geometrically nonlinear transient vibration of composite plates with piezoelectric actuators , 2003 .

[19]  Stephen J. Elliott,et al.  Global control of a vibrating plate using a feedback-controlled inertial actuator , 2005 .

[20]  Santosh Kapuria,et al.  Analytical piezoelasticity solution for vibration of piezoelectric laminated angle-ply circular cylindrical panels , 2009 .

[21]  Partha Bhattacharya,et al.  Influence of one and two dimensional piezoelectric actuation on active vibration control of smart panels , 2002 .

[22]  Abhijit Mukherjee,et al.  Active vibration control of piezolaminated stiffened plates , 2002 .

[23]  Jin-Chein Lin,et al.  Adaptive modeling and shape control of laminated plates using piezoelectric actuators , 2007 .

[24]  Jean-François Deü,et al.  A two-dimensional closed-form solution for the free-vibrations analysis of piezoelectric sandwich plates , 2002 .

[25]  Tao Chen,et al.  Optimal control of random vibration in plate and shell structures with distributed piezoelectric components , 2007 .

[26]  J. Lin,et al.  An active vibration absorber of smart panel by using a decomposed parallel fuzzy control structure , 2005, Eng. Appl. Artif. Intell..

[27]  Jin-Chein Lin,et al.  Adaptive control of a composite cantilever beam with piezoelectric damping-modal actuators/sensors , 2005 .

[28]  Sarp Adali,et al.  Boundary optimal control of structural vibrations in an annular plate , 2005, J. Frankl. Inst..

[29]  M N Sahinkaya Active Sound and Vibration Control , 2004 .

[30]  Seong Hwan Moon,et al.  Finite element analysis and design of control system with feedback output using piezoelectric sensor/actuator for panel flutter suppression , 2006 .

[31]  F. Ebrahimi,et al.  An analytical study on the free vibration of smart circular thin FGM plate based on classical plate theory , 2008 .

[32]  Mehrdad N. Ghasemi-Nejhad,et al.  Adaptive precision positioning of smart composite panels subjected to external disturbances , 2006 .

[33]  Tran Ich Thinh,et al.  Static behavior and vibration control of piezoelectric cantilever composite plates and comparison with experiments , 2010 .

[34]  Erasmo Carrera,et al.  A unified formulation for finite element analysis of piezoelectric adaptive plates , 2006 .

[35]  Carlos Canudas de Wit,et al.  Theory of Robot Control , 1996 .

[36]  Qiu Zhicheng,et al.  Acceleration sensors based modal identification and active vibration control of flexible smart cantilever plate , 2009 .